Rank-3 scale: Difference between revisions
→Pairwise well-formed scales: Added a sentence on signatures Tags: Mobile edit Mobile web edit |
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PWF scales can only have odd numbers of notes. | PWF scales can only have odd numbers of notes. | ||
A signature, i.e., a generalisation of a MOS signature, can be used to uniquely define | A signature, i.e., a generalisation of a MOS signature, can be used to uniquely define an equivalence class of PWF scales under mirror-inversion and rotation, i.e., a chiral scale pair, or an achiral scale. | ||
'''Conjecture''': The GO scales of odd cardinality are the PWF scales that are not '''''abacaba'''''. | '''Conjecture''': The GO scales of odd cardinality are the PWF scales that are not '''''abacaba'''''. |